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Re: (way)(OT): Lorentz Force worked numerical example.

by LesleyB (Friar)
on Aug 01, 2008 at 22:20 UTC ( [id://701781]=note: print w/replies, xml ) Need Help??


in reply to (way)(OT): Lorentz Force worked numerical example.

It depends how accurate you want your simulation to be, how confident you are with vector calculus and numerical integration.

The force on a wire carrying an electrical current can be approximated by F=BIL where, B is the magnetic flux density the conductor is exposed to, I is the current running through the wire and L is the length of the conductor.

This is a highly simplified equation which can be taken as an upper bound on the numbers you should achieve partly because it relies on an infinitely long conductor.

The numerical simulation of time varying electrodynamic problems is not trivial. For example, time stepping requires good guesses of skin depth to be able to achieve any accuracy.

This may be of interest just to get the numbers out.

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Re^2: (way)(OT): Lorentz Force worked numerical example.
by BrowserUk (Patriarch) on Aug 02, 2008 at 04:10 UTC
      same simulation will incorporate gravity

      Each answer generates a thousand new questions. If you will incorporate gravity, what will be the mass of your conductor? Which brings up what is the conductor made of? Copper, Alumunum, Gold? Then if you need to assume an infinitely long conductor, your weight will be infinite. :-( Or how is the finite conductor terminated at the ends, which brings up all sorts of tensile strenth and flexibility coefficients, because the force will be working against the conductor's ability to flex.

      I was thinking last night, that you could probably just make an OpenGl video of a line segment wiggling like an inch worm, and claim that a current pulse of X magnitude, Y duration, and Z shape caused it. Then let the skeptics write the equations for you as they try to prove you wrong. :-) That would be real hubris.


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